RANK DETERMINATION AND ANALYSIS OF NON-LINEAR PROCESSES BY GLOBAL LINEARIZING TRANSFORMATION

摘要

A method of rank determination which can also be used to construct models for some non-linear processes by means of a global linearizing transformation (GLT) is presented. A test case using the theoretical properties of an ideal gas is analyzed for comparison with the log linearization. A real data set from a Taguchi sensor array is analyzed by the method and the results are compared with previous work. The linearizing transformations are constructed using spline functions for the examples treated in this paper, although other kinds of functions can be used.